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Finding the Third Proportional to 465,990 and 698,265

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Solution

The third proportional to 465,990 and 698,265 is: 1,046,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,990 : 698,265 = 698,265 : x
  2. Step 2: Convert to fraction form
    465,990/698,265 = 698,265/x
  3. Step 3: Cross multiply
    465,990x = 698,265 × 698,265
  4. Step 4: Simplify right side
    465,990x = 487,574,010,225
  5. Step 5: Solve for x
    x = 487,574,010,225/465,990
  6. Step 6: Final answer
    x = 1,046,318.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.